Because of differences in the given dimensions, two students have different calculated areas when measuring the same rectangle.
What is a rectangle?In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles.Because all of its angles are equal, it is also known as an equiangular quadrilateral or a parallelogram with a right angle.A square is a rectangle with four equal-length sides.So,
1st students measurement:
Length = 20.70, width = 10.442nd students measurement:
Length = 20.74, width = 10.46The formula of area:
Area = length × width1st students measurement:
Area = 20.70 × 10.44Area = 216.108 cm²2nd students measurement:
Area = 20.74 × 10.46Area = 216.940 cm²Therefore, because of differences in the given dimensions, two students have different calculated areas when measuring the same rectangle.
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The complete question is given below:
Calculating the area of a rectangle
Your measurements Another student's measurements
Length (cm) 20.70 20.74
Width (cm) 10.44 10.46
Area (cm2)
Required:
Why might two students have different calculated areas when measuring the same rectangle?
Bonnie made a scale drawing of a theater. The scale of the drawing was 2 inches =
1 foot. If the stage is 40 inches in the drawing, how wide is the actual stage?
55
Answer:
20 foot.....................
PLEASEE HELL
find the solution to the system of equations
Answer:
(-3, -4)
Step-by-step explanation:
y= -4
so you plus y in for the y=2x+2 equation where you get x=-3
\(\huge\text{Hey there!}\)
\(\large\text{If y = -4 then SUBSTITUTE it into the EQUATION}\)
\(\large\text{-4 = 2x + 2}\)
\(\large\text{TURN the EQUATION}\)
\(\large\text{2x + 2 = -4}\)
\(\large\text{SUBTRACT by 2 to BOTH SIDES}\)
\(\large\text{2x + 2 - 2 = -4 - 2}\)
\(\large\text{CANCEL out: 2 - 2 because that gives you 0}\)
\(\large\text{Keep: -4 - 2 because it helps us solve for x}\)
\(\large\text{2x = -6}\)
\(\large\text{DIVIDE by 2 to BOTH SIDES }\)
\(\mathsf{\dfrac{2x}{2}=\dfrac{-6}{2}}\)
\(\large\text{CANCEL out: }\mathsf{\dfrac{2}{2}}\) \(\large\text{because that gives you 1}\)
\(\large\text{KEEP: }\mathsf{\dfrac{-6}{2}}\) \(\large\text{because it gives us the value of x }\)
\(\boxed{\boxed{\large\text{Answer: \bf x = -3}}}\huge\checkmark\\\\\boxed{(-3,-4)}\)
\(\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
On Monday the temperature at 10 p.m at sams house was -6 Fahrenheit the temperature at 2 p.p at sams house was 2 Fahrenheit which statement about the change in temperature from 10 a.m to 2 p.m at sams house is true?
Answer:
rose 8
Step-by-step explanation:
-6fahrenheit plus 8 = 2 it took four hours to rise 8 i think
Convert to a decimal. 13 --- 4
Type in the missing terms in this sequence of square numbers.
1, 4, 9, ?,25,36,?,64,81,100,?,144
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?A 4B. -2C -1D. 1
You need to know the following:
1. The "difference" is the result of a subtraction.
2. The word "times" indicates a multiplication.
3. The sum is the result of an addition.
Let be "n" the number mentioned in the exercise.
Knowing the explained above, you know that "the difference of a number and 6" can expressed as:
\(n-6\)And "5 times the sum of the number and 2" can be expressed as:
\(5(n+2)\)Therefore, "the difference of a number and 6 is the same as 5 times the sum of the number and 2" can be written as the following equation:
\(n-6=5(n+2)\)Now, in order to find the number, you must solve for "n":
\(undefined\)7pi/6 radians is what in degrees?
Step-by-step explanation:
7pi/6 radians = 7×180° /6 = 210°
Ahmet'in boyu 183 cm'dir.
Emel, Ahmet'ten 27 cm uzun
ise; Emel'in boyu tahmini olarak
kaç cm'dir?
Answer:
Ahmet'in boyu 183cm emel de 27cm ahmetden uzun ise 183 ile 27 toplaman lazım
183+27=210
the coefficient of determination resulting from a particular regression analysis was 0.85. what was the slope of the regression line?
The slope of the regression line is 0.922. Option C is correct.
The coefficient of determination (R-squared) is defined as the proportion of the variance in the dependent variable that is explained by the independent variable(s) in a linear regression model. It can be calculated as the square of the correlation coefficient (r) between the dependent and independent variables.
If we assume a simple linear regression model with a single independent variable (x) and a single dependent variable (y), the slope of the regression line (b) can be calculated as:
b = r * (Sy / Sx)
where r is the correlation coefficient between x and y, Sy is the standard deviation of y, and Sx is the standard deviation of x.
If the coefficient of determination is 0.85, then the correlation coefficient is the square root of 0.85, which is approximately 0.922. Assuming the standard deviations of x and y are known, we could use the formula above to calculate the slope of the regression line as:
b = 0.922 * (Sy / Sx)
Therefore, 0.922, could be the slope of the regression line in this case, if the assumptions of a simple linear regression model with known standard deviations are met. Option C is correct.
The complete question is
The coefficient of determination resulting from a particular regression analysis was 0.85. What was the slope of the regression line?
a. 0.85
b. -0.85
c. 0.922
d. There is insufficient information to answer the question.
e. None of the above
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What is the line of x =- 2?.
Precalculus is an example here, since x=−2 is a vertical type line, there is no y-intercept as well as the slope is undefined.
The slope is undefined and all of the factors on the road have an x-coordinate of that (a few number). For example, if x = -2, then all factors alongside this line can have an x-coordinate of -2, making it a vertical line. y=−2 is a flat line crossing the factor at (0,−2) consequently the gradient is 0 and the the y intercept is -2.
A terrible slope approach that variables are negatively related; that is, whilst x increases, y decreases, and whilst x decreases, y increases. Graphically, a terrible slope approach that as the road on the road graph movements from left to right, the road falls. The x-coordinate -2 is represented throughout. This is NOT a function.
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Miguel has started training for a race. The first time he trains, he runs 0. 5 mile. Each subsequent time he trains, he runs 0. 2 mile farther than he did the previous time.
a) What is the arithmetic series that represents the total distance Miguel has run after he has trained n times?
b) A marathon is 26. 2 miles. What is the least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon?
Answer:
hope this helps.
Step-by-step explanation:
What is 18.92 divided by11 equals 18.92 at the top 11 at the bottom explain your answer PLEASE I HAVE TO SUMMIT THIS IN 19 MIN!
The decimal division of 18.92 by 11 gives us; 1.72
How to divide decimal numbers?When dividing decimals, we first have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way, like in regular long division.
We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;
18.92/11 = 1892/1100
= 1 + (1892 - 1100)/1100
= 1 + (792/1100)
= 1 + 0.72
= 1.72
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Which situation could be represented by the equation-30 + 30=0 ?
Answer:30x0
Step-by-step explanation:
can anyone help me please
ray4918 here to help
help me plzzzz. plxz zxlppzlzlz pdpxpd
Answer:
552 miles per hour
Step-by-step explanation:
Speed = distance / time
So, speed = 414 / (3/4)
= 552 miles per hour
P.S. I couldn't answer the other questions cuz your photo is unclear
Answer:
552 miles per hour
Step-by-step explanation:
Speed = distance / time
So, speed = 414 / (3/4)
= 552 miles per hour
Assume that the Cleveland Browns football team independently has an 75% chance to win any game that they play. In a regular season, they play 16 games for which the outcomes can only be win or loss. a. What is the probability of the Browns winning exactly 12 games? (SHOW YOUR CALCULATION USING THE CORRECT FORMULA) b. What is the probability of the Browns winning at least 10 games? (Use table) c. What is the probability of the Browns winning at most 8 games? (Use table) d. What is the mean and standard deviation of this distribution?
The correct answer is a. The probability of the Browns winning exactly 12 games is approximately 0.135.b. The probability of the Browns winning at least 10 games and c. winning at most 8 games can be obtained using a binomial distribution table or calculator. d. The mean of the distribution is 12 and the standard deviation is approximately 1.71.
To calculate the probability of the Browns winning exactly 12 games in a regular season, we use the binomial probability formula:
\(P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)\)
where:n is the number of trials (16 games)
k is the number of successes (12 wins)
p is the probability of success in a single trial (0.75)
C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)
Plugging in the values, we have:
\(P(X = 12) = C(16, 12) * 0.75^12 * (1 - 0.75)^(16 - 12)\)
Calculating C(16, 12) = 16! / (12! * (16 - 12)!), we get:
\(P(X = 12) = 1820 * 0.75^12 * 0.25^4\)≈ 0.135
Therefore, the probability of the Browns winning exactly 12 games is approximately 0.135.
b. To calculate the probability of the Browns winning at least 10 games, we can use a cumulative binomial distribution table. Sum up the probabilities for winning 10, 11, 12, ..., 16 games:
P(X ≥ 10) = P(X = 10) + P(X = 11) + P(X = 12) + ... + P(X = 16)
Using the table or a binomial distribution calculator, we can find this cumulative probability.
c. To calculate the probability of the Browns winning at most 8 games, we can use the complement rule. Since we know the probability of winning at least 10 games, we can subtract it from 1:
P(X ≤ 8) = 1 - P(X ≥ 10)
Using the table or a binomial distribution calculator, we can find this probability.
d. The mean (expected value) of a binomial distribution is given by the formula:
Mean = n * p
Substituting n = 16 and p = 0.75, we get:
Mean = 16 * 0.75 = 12
The standard deviation of a binomial distribution is given by the formula:
Standard Deviation = sqrt(n * p * (1 - p))
Substituting n = 16 and p = 0.75, we get:
Standard Deviation = sqrt(16 * 0.75 * (1 - 0.75)) ≈ 1.71
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Find the area of the shaded region. Provide an answer accurate to the
nearest tenth.
18 ft
10 ft
Thus, the area of the shaded part is found to be 50 sq. ft.
Define about area of the shaded region:The shaded region's area is most frequently found in common geometry problems. Such problems always have a minimum of two forms, and you must determine the area for each shape as well as the darkened zone by deducting the smaller shape's area from the larger.
Rectangle's area :
Area has two dimensions: length and width. Square units like square inches, square feet, or square metres are used to measure area.
Multiply its length by the width to determine the area of a rectangle. A is equal to L * W, where * denotes multiplication, L is the length, W is the breadth, and A is the area.Length of shaded part = 5 ft
width of shaded part = 10 ft
Area = 5*10
Area = 50 sq. ft
Thus, the area of the shaded part is found to be 50 sq. ft.
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Correct question:
For the given figure find the area of the shaded region.
Length BC = 18 ft
Length CD = 10 ft
pls help me both questions
with explanation sum
9514 1404 393
Answer:
3) x = 55, y = 123, z = 123
4) x = 276°
Step-by-step explanation:
3)Angles P and Q are alternate interior angles, so are congruent.
P = Q
3x -42° = 2x +13°
x = 55° . . . . . . . . . . . add 42°-2x
Then Q = 2x +13 = 2(55°) +13° = 123°.
Angles Y, P, Q, and Z are all congruent, so all have the same measure.
Y = Z = 123°
__
4)If you draw a horizontal line parallel to AB and CD through point O, then small angle POQ is divided into parts that are congruent with angles APO and CQO. That is, small angle POQ = 48° +36° = 84°.
Large angle POQ is then 360° -84° = 276°
please help factorise 7ab+a
Answer:
= a(7b + 1)
Step-by-step explanation:
7ab + a
a(7b + 1).
The rate of change of the volume V with respect to time t of water leaking from a tank is proportional to the cube of the volume. Which of the following is a differential equation that could describe this relationship? a. dV/dt = -1.4t^3 b. dV/de = -0.2V^3 c. dV/dt = 0.75t^3 d. dV/dt = 0.15V^3
d. dV/dt = -0.15V³ is a differential equation that could describe the relationship between the rate of change of the volume V with respect to time t of water leaking from a tank, and the cube of the volume.
Differential Equation for LeakA differential equation is an equation that relates a function and its derivatives. In this case, the function is the volume V of water in the tank, and the variable is time t. The problem states that the rate of change of the volume V with respect to time t is proportional to the cube of the volume. This means that the rate at which the volume is changing is directly proportional to the cube of the volume, and the proportionality constant is a negative number.
The differential equation that describes this relationship is dV/dt = -0.15V³, where dV/dt represents the rate of change of the volume with respect to time, and -0.15V³ represents the proportionality constant times the cube of the volume. The negative sign indicates that the volume is decreasing over time, as water is leaking out of the tank. This differential equation can be used to model the behavior of the water leaking from the tank, and can be used to determine the volume of water remaining in the tank at any given time.
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A line passes through the points (–3, –4) and (6, 2).
A coordinate plane.
What is the x-intercept of this line?
Answer:
x intercept is -3
Step-by-step explanation:
We need to find the equation for the line First we find the slope m = (y2-y1)/(x2-x1) = (2- -4)/(6- -3) = (2+4)/(6+3) =6/9 = 2/3 The we can write the equation y= mx+b y = 2/3x +b We can substitute in (6,2) 2 = 2/3(6) +b 2 =4+b Subtract 4 from each side 2-4 =b b =-2 y = 2/3 x-2 We want to find the x intercept, so set y =0 and solve for x 0 = 2/3x -2 Add 2 to each side 0-2 = 2/3x Multiply each side by 3/2 to isolate x -2 *3/2 = 2/3x * 3/2 -3 =x The x intercept is -3
Given the functions, f ( x ) = x2 + x - 5 and g ( x ) = 4 x2 - 2 x + 1, perform the indicated operation. When applicable, state the domain restriction. ( f - g )( x )
Answer:
(f-g)(x) = - 3 x² + 3 x -6
Step-by-step explanation:
Explanation:-
Given function f(x) = x² + x - 5
g(x) = 4 x² - 2 x + 1
(f-g)(x) = f(x) - g(x)
= x² + x - 5 - (4 x² - 2 x + 1)
= x² - 4 x² + x + 2 x - 5 -1
= - 3 x² + 3 x -6
(f-g)(x) = - 3 x² + 3 x -6
4(-6+ 3) - 2 1/2 how do I solve this problem
Answer:
The expression becomes:
\(\begin{gathered} \frac{-29}{2} \\ or \\ -14\text{ }\frac{1}{2} \end{gathered}\)Explanation:
We want to solve the expression:
\(4(-6+3)-2\frac{1}{2}\)First of all, notice there is a mixed fraction in the expression. This can be converted into an improper fraction. Doing that, the expressioin becomes:
\(4(-6+3)-\frac{5}{2}\)Next, we remove the bracket by multiplying each element in the bracket by 4.
\(-24+12-\frac{5}{2}\)Which becomes:
\(-12-\frac{5}{2}\)Now, we make this expression a single fraction as:
\(\begin{gathered} \frac{-12}{1}-\frac{5}{2}\text{ } \\ =\frac{-24}{2}-\frac{5}{2}\text{ } \\ =\frac{-24-5}{2} \\ \\ =\frac{-29}{2} \end{gathered}\)do waiters or waitresses earn larger tips? to answer this question, a restaurant consultant undertook a preliminary study. the study involved measuring the percentage of the total bill left as a tip for one randomly selected waiter and one randomly selected waitress from each of 50 restaurants during a 1-week period. what conclusions can be drawn from these data?
From these data, it is difficult to draw any meaningful conclusions about which waiters and waitresses earn larger tips.
The data only measure the percentage of the total bill left as a tip for one randomly selected waiter and one randomly selected waitress from each of the 50 restaurants during a 1-week period, which does not provide a large enough sample size to draw any meaningful conclusions. In order to draw more reliable conclusions, a larger, more comprehensive study should be conducted that measures the tips for multiple waiters and waitresses from each restaurant over a longer period of time.
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Calculate the amount of interest if $3000.00 is invested at 6.25% from November 30, 2014 to May 15, 2015.
To calculate the amount of interest earned on an investment of $3000.00 at an interest rate of 6.25% from November 30, 2014, to May 15, 2015, we need to determine the time period and use the formula for simple interest.
The time period from November 30, 2014, to May 15, 2015, can be calculated as follows:
Days in November 2014: 30 (since it is a full month)
Days in December 2014: 31
Days in January 2015: 31
Days in February 2015: 28 (assuming it is not a leap year)
Days in March 2015: 31
Days in April 2015: 30
Days from May 1 to May 15, 2015: 15
Total days = 30 + 31 + 31 + 28 + 31 + 30 + 15 = 176 days
Now, we can use the formula for simple interest:
Interest = Principal * Rate * Time
= $3000.00 * 6.25% * (176/365)
To calculate the interest, we need to convert the interest rate from a percentage to a decimal by dividing it by 100. Thus, the interest can be calculated as follows:
Interest = $3000.00 * 0.0625 * (176/365)
After performing the calculation, we can determine the amount of interest earned during the given time period.
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Please help me with this Geometry Question
The value of x from the given figure is 12 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔADC and ΔABC,
∠C=∠C (Reflex property)
AC=AC (Reflex property)
∠BAC=∠CDA=90°
By AA similarity, ΔADC ~ ΔABC
So, AC/BC = DC/AC
x/36 = 4/x
x²=36×4
x²=144
x=12 units
Therefore, the value of x from the given figure is 12 units.
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What is the Value of f(6) if f(x)=2x-11
a. -3
b. -1
c. 1
d. 23
Ill give brainiest to anyone who can explain this to me. I have a test tomorrow and don't understand this specific type of problem
Answer:
f(x)=2x-11
f(6)=2(6)-11
=12-11
=1
and the answer is c.
Explanation:
f(6) means you have to replace all x's in the function with 6.
For example, if the problem was asking you what is the value of f(10) you would have to replace all the x's in the respective function with 10 and so on.
PLEASE SOMEONE HELP I need help ASAP!!!
Answer:
using the pythagoras theorem
Step-by-step explanation:
\( \sqrt{4 {}^{2} - ( \sqrt{7}) {}^{2} } = 3\)
Which pair of functions represents a decomposition of f(g(x)) = | 2(x + 1)^2 + (x + 1) | ?
A) f(x) = (x + 1)^2 and g(x) = | 2x + 1 |
B) f(x) = (x + 1) and g(x) = | 2x^2 + x |
C) f(x) = | 2x + 1 | and g(x) = (x + 1)^2
D) f(x) = | 2x^2 + x | and g(x) = (x + 1)
Answer:
\(\Large \boxed{\mathrm{\bold{D.}} \ f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)}\)
Step-by-step explanation:
\(f(g(x)) = | 2(x + 1)^2 + (x + 1) |\)
The first option :
\(f(x) = (x + 1)^2 \ \mathrm{and} \ g(x) = | 2x + 1 |\)
\(f(g(x))=(|2x+1|+1)^2\)
The second option :
\(f(x) = (x + 1) \ \mathrm{and} \ g(x) = | 2x^2 + x |\)
\(f(g(x))=(|2x^2 +x|+1)\)
The third option :
\(f(x) = | 2x + 1 | \ \mathrm{and} \ g(x) = (x + 1)^2\)
\(f(g(x))=|2(x+1)^2 +1 |\)
The fourth option :
\(f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)\)
\(f(g(x))= | 2(x + 1)^2 + (x + 1) |\)
Answer:
D
Step-by-step explanation:
Mr. Lopez wrote the equation 32 g + 8 g minus 10 g = 150 on the board. Four students explained how to solve for g.
Alyssa: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.”
Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.”
Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is 10 and StartFraction 5 Over 7 EndFraction.”
Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.”
Which student’s work is correct?
Alyssa
Rahul
Toni
Wilhem
Mark this and return Save and Exit Next
Answer:
Willhem
Step-by-step explanation:
The given equation is
Step 1 : Add 32g and 8g.
Step 2: Subtract 10 from 40.
Step 3: Divide both sides by 30, find the value of g.
The value of g is 5.
Therefore, Wilhem is correct.
Answer:
Wilhem
Step-by-step explanation: